QQ on flop action and Jacks became middlepair on turn

[cyg]

1)
Stack sizes:
UTG: $50
UTG+1: $135.10
CO: $52.70
cyg: $68.05
SB: $29
BB: $67.35

Pre-flop: (6 players) cyg is Button with Q[img]/images/graemlins/club.gif[/img] Q[img]/images/graemlins/heart.gif[/img]
<font color="#cc0000">UTG raises to $2</font>, UTG+1 folds, CO calls, <font color="#cc0000">cyg raises to $8</font>, 2 folds, UTG calls, CO calls.

Flop: 8[img]/images/graemlins/spade.gif[/img] 5[img]/images/graemlins/heart.gif[/img] J[img]/images/graemlins/heart.gif[/img] ($24.75, 3 players)
UTG checks, CO checks, <font color="#cc0000">cyg bets $20</font>, <font color="#cc0000">UTG raises to $40</font>, CO folds, cyg ???

No specific stat-reads on villian, i had a feeling he had jacks though, i had that feeling preflop already, should I have checked the flop?
And what should I do here? Do I face a set of Jacks or is it just someone holding AJ?
edit: oh and is the flop bet too high? I'm not quite sure if it was okay to bet here that much considering it's a 3-way pot.

2)
Stack sizes:
cyg: $56.45
UTG+1: $48.85
CO: $14.95
Button: $63.95
SB: $39.45
BB: $70.55

Pre-flop: (6 players) cyg is UTG with J[img]/images/graemlins/spade.gif[/img] J[img]/images/graemlins/club.gif[/img]
<font color="#cc0000">cyg raises to $2</font>, 4 folds, BB calls.

Flop: 5[img]/images/graemlins/spade.gif[/img] 2[img]/images/graemlins/diamond.gif[/img] 6[img]/images/graemlins/club.gif[/img] ($4.25, 2 players)
BB checks, <font color="#cc0000">cyg bets $3.5</font>, BB calls.

Turn: K[img]/images/graemlins/club.gif[/img] ($11.25, 2 players)
<font color="#cc0000">BB bets $7</font>, cyg folds.
Uncalled bets: $7 returned to BB.

Results:
Final pot: $11.25

Here Villian is 31/9.5/2.32(621). Did I give up too early? Should I have reraised to see where my Jacks are?

Thanks for your help. [img]/images/graemlins/smile.gif[/img]